1. Algebra Problems… Set 21 By Herbert I. Gross and Richard A. Medeiros
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Algebra Problems…
Set 21
By Herbert I. Gross and Richard A. Medeiros
© Herbert I. Gross

2. Problem #1a Find the values of x and y for which… 6x + 5y = 15
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Problem #1a
Find the values of x and y for which…
6x + 5y = 15
5x + 4y = 20
© Herbert I. Gross 2

3. Problem #1b Find the values of x and y for which… 0.06x + 0.05y = 0.15
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Problem #1b
Find the values of x and y for which…
0.06x y = 0.15
0.05x y = 0.20
© Herbert I. Gross 3

4. Problem #1c Find the values of x and y for which… 1/5 x + 1/6 y = 1/2
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Problem #1c
Find the values of x and y for which…
1/5 x + 1/6 y = 1/2
1/4 x + 1/5 y = 1
© Herbert I. Gross 4

5. Problem #1d The equation of the line L1 is 6x + 5y = 15,
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Problem #1d
The equation of the line L1 is
6x + 5y = 15,
and the equation of the line L2 is
5x + 4y = 20.
At what point do these two lines intersect?
© Herbert I. Gross 5

6. Problem #2a Find the values of x and y for which… 2x + 3y = 111
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Problem #2a
Find the values of x and y for which…
2x + 3y = 111
5x + 4y = 204
© Herbert I. Gross 6

7. What is the cost of each pear ?
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Problem #2b
Two (equally priced) apples and three (equally priced) pears cost $1.11 while five apples and four pears cost $2.04.
What is the cost of each pear ?
© Herbert I. Gross 7

8. Problem #3a Find the values of x and y for which… x + y = 50
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Problem #3a
Find the values of x and y for which…
x + y = 50
7.5x + 5y = 300
© Herbert I. Gross 8

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Problem #3b
Coffee beans worth $7.50 per pound are blended with coffee beans
worth $5 per pound to make a mixture of 50 pounds worth $6 per pound.
How many pounds of each mixture are there in the blend?
© Herbert I. Gross 9

10. Problem #4 Find the values of x, y, and z for which… x + 3y + 5z = 111
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Problem #4
Find the values of x, y, and z for which…
x + 3y + 5z = 111
y = 3x + 2
z = 2y + 1
© Herbert I. Gross 10

11. Problem #5 Find the values of x, y, and z for which… x + y + z = 2
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Problem #5
Find the values of x, y, and z for which…
x + y + z = 2
2x + 3y + 3z = 5
3x + 4y + 2z = 1
© Herbert I. Gross 11